Solve x:1/3=1/2:2/9

$$x : 1 / 3 = 1 / 2 : 2 / 9$$

Solve for x

$$x=\frac{3}{4}=0.75$$

Steps for Solving Linear Equation

Divide \frac{1}{2} by \frac{2}{9} by multiplying \frac{1}{2} by the reciprocal of \frac{2}{9}.

$$\frac{x}{\frac{1}{3}}=\frac{1}{2}\times \frac{9}{2}$$

Multiply \frac{1}{2} times \frac{9}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{x}{\frac{1}{3}}=\frac{1\times 9}{2\times 2}$$

Do the multiplications in the fraction \frac{1\times 9}{2\times 2}.

$$\frac{x}{\frac{1}{3}}=\frac{9}{4}$$

Multiply both sides by \frac{1}{3}.

$$x=\frac{9}{4}\times \frac{1}{3}$$

Multiply \frac{9}{4} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{9\times 1}{4\times 3}$$

Do the multiplications in the fraction \frac{9\times 1}{4\times 3}.

$$x=\frac{9}{12}$$

Reduce the fraction \frac{9}{12} to lowest terms by extracting and canceling out 3.

$$x=\frac{3}{4}$$